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Finding the Fourth Proportional to 2,170.18, 3,248.79 and 1,301.86

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Solution

The fourth proportional to 2,170.18, 3,248.79 and 1,301.86 is: 1,948.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.18 : 3,248.79 = 1,301.86 : x
  2. Step 2: Convert to fraction form
    2,170.18/3,248.79 = 1,301.86/x
  3. Step 3: Cross multiply
    2,170.18x = 3,248.79 × 1,301.86
  4. Step 4: Simplify right side
    2,170.18x = 4,229,469.75
  5. Step 5: Solve for x
    x = 4,229,469.75/2,170.18
  6. Step 6: Final answer
    x = 1,948.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.